What is the measure of the vertex angle of an isosceles triangle if one of its base angles measure 53 and its congruent sides each measure 15 cm?

because that’s us why

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.